Positron lifetime studies on the recovery of plastically deformed silver: the influence of oxygen

Wegner, Daniel

doi:10.1088/0305-4608/18/10/018

Cited by 5 publications

(4 citation statements)

References 32 publications

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“…, and the physical roles of orthogonal and symplectic symmetries are interchanged. 302 D. Belitz and T. R. Kirkpatrick: The Anderson-Mott transition tion to four-loop order (Wegner, 1989). Hikami (1990) recently noticed that the nonlinear sigma models in question are closely related to certain classes of string theories.…”

Section: Renormalization Of the Nonlinear Sigma Modelmentioning

confidence: 99%

“…Equations (3.150) yield the localization length exponent v= -I/P'(g") and the conductivity exponent s=vE to five-loop order. Wegner ( , 1989 has also determined the crossover exponents from symplectic to unitary or orthogonal behavior. While the four-loop terms in Eqs.…”

Section: Renormalization Of the Nonlinear Sigma Modelmentioning

confidence: 99%

“…For the relatively simple cases of noninteracting electrons and the O(n) model, where high-order c-expansion calculations are possible, this problem has been studied directly in some detail (Hikami and Brezin, 1978;Wegner, 1989;Hikami, 1992; see also Zinn-Justin, 1989, and Sec. III.C.1 above).…”

Section: Problems With the Nonlinear Sigma Modelmentioning

confidence: 99%

“…This was first studied by, who calculated the critical behavior of the participation ratio this way. Later he gave a complete classification of all composite scaling operators with no spatial derivatives and calculated their anomalous dimensions(Wegner, 1987a(Wegner, , 1987b. The critical behavior of the transverse ultrasonic attenuation o. was found to be given as the sum of two such scaling operators, one of which is relevant while the other is irrelevantKotliar, 1986, 1987;Kirkpatrick and Belitz, 1986b): a(co, t)/a (co)=b +a+(cob', tb' )+b a (cob', tb'~) .…”

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confidence: 99%

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The Anderson-Mott transition

1994

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The interacting disordered electron problem is reviewed with emphasis on the quantum phase transitions that occur in a model system and on the field-theoretic methods used to describe them. An elementary discussion of conservation laws and diffusive dynamics is followed by a detai1ed derivation of the extended nonlinear sigma model, which serves as an effective field theory for the problem. A general scaling theory of metal-insulator and related transitions is developed, and explicit renormalization-group calculations for the various universality classes are reviewed and compared with experimental results. A discussion of pertinent physical ideas and phenomenological approaches to the metal-insulator transition not contained in the sigma-model approach is given, and phase-transition aspects of related problems, like disordered superconductors and the quantum Hall effect, are discussed. The review concludes with a list of open problems.

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Section: Renormalization Of the Nonlinear Sigma Modelmentioning

confidence: 99%

Section: Renormalization Of the Nonlinear Sigma Modelmentioning

confidence: 99%